Question

Question 2020 points) Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(X) = 3x2 - 234x + 57, where x is the number of watches repaired. How many watches must he repair to have the lowest cost? A) 28 watches B) 57 watches C) 30 watches D) 39 watches

Answer 1

We need to now when c'(x) = 0, to find the minimum of the functions that is the lowest cost, so we have that the minimum of c(x) is

$x\text{ = 39 }$

So the answer is: D) 39.